What is the 9843rd prime number?
The 9843rd prime number is 102859. The next prime is 102871 (a gap of 12) and the one before is 102841.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 9843rd one is 102859.
- 2
102859 is prime because no prime up to ā102859 ā 320.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9843rd prime is close to 9843 Ć ln(9843) ā 90502, and here it is 102859.
- 4
102859 has no twin: neither 102857 nor 102861 is prime.
Primes around the 9843rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9840 | 102811 | 14 |
| 9841 | 102829 | 18 |
| 9842 | 102841 | 12 |
| 9843 | 102859 | 18 |
| 9844 | 102871 | 12 |
| 9845 | 102877 | 6 |
| 9846 | 102881 | 4 |
Questions
What is the 9843rd prime number?
102859.
Which prime number is 102859?
102859 is the 9843rd prime number.
What is the sum of the first 9843 primes?
479,861,028.